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Finding the Fourth Proportional to 224.36, 309.60 and 137.02

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Solution

The fourth proportional to 224.36, 309.60 and 137.02 is: 189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 309.60 = 137.02 : x
  2. Step 2: Convert to fraction form
    224.36/309.60 = 137.02/x
  3. Step 3: Cross multiply
    224.36x = 309.60 × 137.02
  4. Step 4: Simplify right side
    224.36x = 42,421.39
  5. Step 5: Solve for x
    x = 42,421.39/224.36
  6. Step 6: Final answer
    x = 189.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.